Question

3.) eileen admires a beautiful stained - glass window in a museum. the window and its dimensions are shown in the diagram below. how many square feet of glass were used to create the window? use 3.14 for π.

Explanation:

Step1: Calculate total base length

Total base = $12 + 8 + 8 = 28$ ft

Step2: Find area of the trapezoid

Area formula: $\frac{1}{2} \times (base_1 + base_2) \times height$
$\frac{1}{2} \times (12 + 28) \times 18 = \frac{1}{2} \times 40 \times 18 = 360$ sq ft

Step3: Find radius of the semicircle

Radius $r = \frac{12}{2} = 6$ ft

Step4: Calculate area of the semicircle

Area formula: $\frac{1}{2} \pi r^2$
$\frac{1}{2} \times 3.14 \times 6^2 = \frac{1}{2} \times 3.14 \times 36 = 56.52$ sq ft

Step5: Sum the two areas

Total area = $360 + 56.52$

Answer:

360 + 56.52 = 416.52 square feet